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Information theory and coding [ LINGI2348 ]

5.0 crédits ECTS  30.0 h + 15.0 h   2q 

Teacher(s) Louveaux Jérôme ; Pereira Olivier ; Macq Benoît (coordinator) ;
Language English
of the course

solid basic knowledge in computer science and mathematics as taught in 1st and 2nd year of Bachelor in Engineering

Main themes
  • Information representation: decorrelation coding and entropic coding.
  • Information security: cryptographic coding.
  • Information correction: channel coding theory and error-correcting codes.
  • To explain the notions, methods and results that are used in the analysis and design of information representation, protection and correction systems.
  • To present not only general results that determine the possibilities offered by information theory, but also effective compression, security and correction methods.
  • To provide some design tools for multimedia (image, sound, data) information coding.
Evaluation methods

Written examination (no document allowed)

  • Basic notions in information theory; mutual information and entropy.
  • Discrete source coding by fixed length-codes and variable-length codes.
  • Decorrelation coding and coding gain notions.
  • Basic notions in cryptology; secret-key and public-key cryptographic coding systems.
  • Discrete memoryless channel; capacity notion; noisy channel coding theorem.
  • General block coding theory; role of the minimum distance.  
  • Linear codes: generator matrix and parity-check matrix; syndrome decoding.
  • Study of certain classes of linear block codes: cyclic codes and Reed-Solomon codes.
  • Introduction to convolution codes.
  • R.G. Gallager, "Information Theory and Reliable Communication" , John Wiley, 1968.
  • F.J. MacWilliams and N.J.A. Sloane, "The Theory of Error-Correcting Codes" , North-Holland, 1977.
Cycle et année
> Master [120] in Statistics: General
> Master [120] in Computer Science and Engineering
> Master [120] in Computer Science
> Master [120] in Mathematical Engineering
> Master [120] in Electrical Engineering
> Master [120] in Electro-mechanical Engineering
Faculty or entity
in charge

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